Question

Consider conducting a hypothesis test in which the null and alternative hypotheses are:

Ho: ? ? c
Ha: ? > c

Where c is some hypothesized value.  
Suppose the significance level is 0.02, the test statistic is positive, and the statistical decision is to FTR Ho.
If we redo the test at ? = 0.05, our statistical decision would be:  ---Select--- There is not enough information to make a decision at 0.05 FTR Ho at ? = 0.05 Reject Ho at ? = 0.05

A. There is not enough information to make a decision at 0.05

B. FTR Ho at a= 0.05

C. Reject Ho at a= 0.05

Answer 1

here as we fail to rjeect Ho at 0.02 level whcih means p value is greater than 0.02 ; but this does not give information if p value is less than 0.05 for which we reject Ho at 0.05 level or more than 0.05 for whcih we FTR Ho.

hence correct option is A:

A. There is not enough information to make a decision at 0.05